At present, no, you'll need at least the MM.
If/when they release the supplement, then maybe.
In the Encounters Version, the new monster entries in the back are exactly that: new. Anything in the PHB or MM isn't reprinted.
And you will definitely need the ebook Player's Companion (or willingness to heavily modify) to use the new monsters, and they're a key element.
In the first 3/4 of the first chapter of the encounters version, you'll need the MM for at least 2 entries. (The rest are in the DMBR).
In the wilderness encounter tables of same, there are 5 in the MM but not the DMBR.
One can fake around it...